The coordinate of the point P will be (6/5, -7/5). Then the correct option is C.
The complete question is attached below.
<h3>What is the section of the line?</h3>Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divide the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
Given the points X(-2, 5) and Y(2, -3).
Then the coordinates of the point P on directed line segment XY that partitions segment XY such that the ratio of XP to PY is 4:1.
(x₁, y₁) = (-2, 5)
(x₂, y₂) = (2, -3)
m = 4
n = 1
Then the point will be
x = [4 × 2 + 1 × (-2)] / (4 + 1)
x = 6 / 5
y = [4 × (-3) + 1 × 5] / (4 + 1)
y = -7 / 5
The coordinate of the point P will be (6/5, -7/5).
Then the correct option is C.
More about the section of the line link is given below.
#SPJ1
Answer:
∠ BDA = 55° , ∠ BCA = 70°
Step-by-step explanation:
∠ BOA = 360° - 250° = 110° ( angles round a point )
The central angle is twice the angle on the circle, subtended on the same arc
∠ BDA = ∠ BOA =
× 110° = 55°
OBCA is a tangent kite
Opposite angles sum to 180° , then
∠ BCA = 180° - ∠ BOA = 180° - 110° = 70°
So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:
Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:
Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:
Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:
Now you can rewrite it as:
Next, multiply:
Next, divide:
And lastly, simplify:
<u>The correct option is C. x² + 4x + 4.</u>